Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result.

Question

Expression 1: y⋅3x


Expression 2: 3xy


(2 points)

Answer 1

To prove that the expressions \( y \cdot 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the factors in Expression 1 as follows: \( y \cdot 3x = 3 \cdot (y \cdot x) = 3xy \).

Thus, both expressions represent the same mathematical quantity, confirming their equivalence.